Question

Can a tangent with the slope -(1/2) be drawn on the curve y=log4x ( that's a base 4). Explain, with calculus.

Answer 1

yes,
set f'(x) = -1/2

Answer 2

Sorry but could you further explain

Answer 3

do you know how to find derivative of log_4(x) ?

Answer 4

not really, is it 1/xln4?

Answer 5

very good.
set 1/[x ln(4) ] = -1/2 and solve for x

Answer 6

wait why do you set them equal to each other?

Answer 7

because you're try to find the where on the graph is the slope -1/2

Answer 8

m okay I got x=-2/ln4 is that correct?